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223201212233 is a prime number
BaseRepresentation
bin1100111111011111010…
…1000011011101001001
3210100010021110101101012
43033313311003131021
512124104002242413
6250312012333305
722061064000116
oct3176765033511
9710107411335
10223201212233
11867282a136a
1237311774235
1318080c9b31c
14ab355c990d
155c1527c7a8
hex33f7d43749

223201212233 has 2 divisors, whose sum is σ = 223201212234. Its totient is φ = 223201212232.

The previous prime is 223201212209. The next prime is 223201212239. The reversal of 223201212233 is 332212102322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163776424249 + 59424787984 = 404693^2 + 243772^2 .

It is a cyclic number.

It is not a de Polignac number, because 223201212233 - 214 = 223201195849 is a prime.

It is a super-3 number, since 3×2232012122333 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223201212199 and 223201212208.

It is not a weakly prime, because it can be changed into another prime (223201212239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111600606116 + 111600606117.

It is an arithmetic number, because the mean of its divisors is an integer number (111600606117).

Almost surely, 2223201212233 is an apocalyptic number.

It is an amenable number.

223201212233 is a deficient number, since it is larger than the sum of its proper divisors (1).

223201212233 is an equidigital number, since it uses as much as digits as its factorization.

223201212233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 223201212233 its reverse (332212102322), we get a palindrome (555413314555).

The spelling of 223201212233 in words is "two hundred twenty-three billion, two hundred one million, two hundred twelve thousand, two hundred thirty-three".